Combining Philosophers

All the ideas for Anaxarchus, W Kneale / M Kneale and Haskell B. Curry

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5 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V

10051

The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M]

5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic

17807

To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

17806

It is untenable that mathematics is general physical truths, because it needs infinity [Curry]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

17808

Saying mathematics is logic is merely replacing one undefined term by another [Curry]

13. Knowledge Criteria / D. Scepticism / 1. Scepticism

3061	Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]